On contravariant finiteness of subcategories of modules of projective dimension $\le I$
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- by Bangming Deng PDF
- Proc. Amer. Math. Soc. 124 (1996), 1673-1677 Request permission
Abstract:
Let $\land$ be an artin algebra. This paper presents a sufficient condition for the subcategory $\mathcal {P}^{i}( \land )$ of $\mod \land$ to be contravariantly finite in $\mod \land$, where $\mathcal {P}^{i}( \land )$ is the subcategory of $\mod \land$ consisting of $\land$–modules of projective dimension less than or equal to $i$. As an application of this condition it is shown that $\mathcal {P}^{i}( \land )$ is contravariantly finite in $\mod \land$ for each $i$ when $\land$ is stably equivalent to a hereditary algebra.References
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Additional Information
- Bangming Deng
- Affiliation: Department of Mathematics, Beijing Normal University, Beijing 100875, People’s Republic of China
- Email: dengbm@bnu.ihep.ac.cn
- Received by editor(s): November 30, 1994
- Additional Notes: Supported by the Postdoctoral Science Foundation of China.
- Communicated by: Ken Goodearl
- © Copyright 1996 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 124 (1996), 1673-1677
- MSC (1991): Primary 16P20, 18G20
- DOI: https://doi.org/10.1090/S0002-9939-96-03438-7
- MathSciNet review: 1340382